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Finding the Fourth Proportional to 502.30, 753.65 and 194.14

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Solution

The fourth proportional to 502.30, 753.65 and 194.14 is: 291.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.30 : 753.65 = 194.14 : x
  2. Step 2: Convert to fraction form
    502.30/753.65 = 194.14/x
  3. Step 3: Cross multiply
    502.30x = 753.65 × 194.14
  4. Step 4: Simplify right side
    502.30x = 146,313.61
  5. Step 5: Solve for x
    x = 146,313.61/502.30
  6. Step 6: Final answer
    x = 291.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.